Higher order differentials and Weierstrass points on Gorenstein curves (Q1344919)

The paper begins with an analysis of the divisor of a (higher order) differential on a Gorenstein curve. In particular the behaviour of such a divisor under desingularisation is investigated. Furthermore the notion of the ramification divisor for a possibly singular curve is introduced. Using this ramification divisor the authors find that the theory of Weierstrass points on a singular curve is a simple generalisation of the corresponding theory for non-singular curves.